STABILITY CRITERION FOR LONGITUDINAL PLASMA WAVES IN A MAGNETIC FIELD
Journal Article
·
· J. Nuclear Energy, Pt. C. Plasma Phys.-Accelerators-Thermonuclear Research
The dispersion equation of Cauchy integral type for longitudinal plasma oscillations in a magnetic fie1d is derived exactly, in order to obtain the general instability criterion for magnetoplasma oscillations, on the basis of the Vlasov collision-free kinetic equation for arbitrary velocity distributions. The motion of the ions is taken into account. Terms important for the drift instability can be written. Two terms correspond to the dispersion relation either for the case of strong magnetic field approximation or for the case of grazing angle propagation. A third term contributes to the drift instability in the case of wave propagation at an appreciable angle to a finite magnetic fie1d. Fourth and higher order terms give rise to the instability arising from anisotropic velocity distributions. The criterion for plasma instability in a magnetic field is obtained using potential theory. The character of the sign distribution of a particular function determines whether or not unstable plasma oscillations occur. The correspondence of the various possible sign combinations to stability or instability is tabulated. This criterion is applied to a particular anisotropic velocity distribution function. The unstable regions are determined for variation of parameters, magnetic field intensity, anisotropy, and angle between wave vector and magnetic field vector. (auth)
- Research Organization:
- Hokkaido Univ., Sapporo
- NSA Number:
- NSA-16-032505
- OSTI ID:
- 4771763
- Journal Information:
- J. Nuclear Energy, Pt. C. Plasma Phys.-Accelerators-Thermonuclear Research, Journal Name: J. Nuclear Energy, Pt. C. Plasma Phys.-Accelerators-Thermonuclear Research Vol. Vol: 4
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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